(a) Show explicitly that parity rules give the spinorbit term (1.13.18) for U(r(vector)) antisymmetric in the x-...

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(a) Show explicitly that parity rules give the spin–orbit term (1.13.18) for U(r(vector)) antisymmetric in the x- and y-directions and symmetric in the z-directions.

(b) What would this term be if U(r(vector)) had an antisymmetric  term only in the x-direction?

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